nairobbyg
Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

The graph below shows the total costy (in dollars) of owning and operating a compact car
where x is the number of miles driven.
Owning and Operating a Compact Car
S10,000
58000
(20,000, 7200)
56000
Total Cost in dollars)
S-1000
S2000
(5000, 1800)
25.000
3000 10,000 15.000 20,000
Miles Driven
Source: Federal Highway Administration
**This question consists of two answers, Please read carefully**
1) Based on the graph, what is the growth per year of owning and operating a compact car?
Select)
-->
2) If this trend continues, what would be the cost of owning and operating a compact car that

The Graph Below Shows The Total Costy In Dollars Of Owning And Operating A Compact Car Where X Is The Number Of Miles Driven Owning And Operating A Compact Car class=

Sagot :

MrRoyal

The relationship between the cost and the miles driven, as presented on the graph is an illustration of a linear equation or a linear graph.

  • The growth rate per year is $0.36 per year
  • The cost of owning and operating the car is $7201.44

A. The growth per year

This simply means that we calculate the slope (m) of the graph.

This is calculated using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

From the graph, we have:

[tex](x_1,y_1) = (5000, 1800)[/tex]

[tex](x_2,y_2) = (20000, 7200)[/tex]

So, we have:

[tex]m = \frac{7200 - 1800}{20000 - 5000}[/tex]

[tex]m = \frac{5400}{15000}[/tex]

[tex]m = 0.36[/tex]

Hence, the growth per year is: $0.36 per year

B. The cost, when the number of miles is 20004 miles

The equation of a straight line is:

[tex]y = mx + b[/tex]

Where:

[tex]m = 0.36[/tex] --- the slope

[tex]b = 0[/tex] --- the point where the graph crosses the y-axis.

So, we have:

[tex]y = 0.36x + 0[/tex]

[tex]y = 0.36x[/tex]

The cost when the miles driven is 20004, is:

[tex]y = 0.36 \times 20004[/tex]

[tex]y = 7201.44[/tex]

The cost of owning and operating the car is $7201.44

Read more about linear graphs at:

https://brainly.com/question/11897796

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.